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Finding the Third Proportional to 134,521.25 and 202,100.75

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Solution

The third proportional to 134,521.25 and 202,100.75 is: 303,630.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,521.25 : 202,100.75 = 202,100.75 : x
  2. Step 2: Convert to fraction form
    134,521.25/202,100.75 = 202,100.75/x
  3. Step 3: Cross multiply
    134,521.25x = 202,100.75 × 202,100.75
  4. Step 4: Simplify right side
    134,521.25x = 40,844,713,150.56
  5. Step 5: Solve for x
    x = 40,844,713,150.56/134,521.25
  6. Step 6: Final answer
    x = 303,630.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.